Great thread topic! This same question has been spinning in my mind. I have no data because I'm not sure which countries are rigid v. lax about vaxes. But I can at least answer anecdotally.
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For example, I know that there's a push to combine vaccines, a practice hailed by physicians as a way to lessen the needle jabs. But what if I don't want some of the vaccines in that cocktail? Honestly, it's likely that if I were put in that sort of all-or-nothing position, I'd opt for nothing. If I'm given a choice, at least I'll get something.  Â
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Another example: I like to separate out the vaccines to ensure that if there is an allergic reaction, I'll know which shot caused it. The problem is that my insurance won't cover multiple visits to the doctors office, and our county health department harasses parents who deviate from CDC doctrine. I promise this isn't to sound arrogant, but from a public health perspective, aren't they lucky that I'm there at all? If they'd back off and nix the harassment, I'd be getting more vaccines.
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Finally, those of us who've read The Vaccine Book by Robert Sears have a list of vaccine brands that are low in aluminum. When I requested these brands, my doctor told me that it was impossible because "We just get what the state sends us." No other clinic or pharmacy in town carried these brands. So consumers aren't allowed a choice in product. The result? I ended up getting fewer vaccines for my children.Â
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These are just three of many examples. If officials take public health half as seriously as they claim, they will give parents more choices....and likely see higher vax compliance as a result.